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130412200131213 = 371113311400880841
BaseRepresentation
bin11101101001101111110100…
…110111001111101010001101
3122002202021200110021112112020
4131221233310313033222031
5114043133141213144323
61141210312045200353
736316653615051240
oct3551576467175215
9562667613245466
10130412200131213
113860a55a1537a0
1212762911b600b9
13579ca82659c80
14242bdac797257
1510124c2095ae3
hex769bf4dcfa8d

130412200131213 has 64 divisors (see below), whose sum is σ = 240996333010944. Its totient is φ = 60518052288000.

The previous prime is 130412200131203. The next prime is 130412200131229. The reversal of 130412200131213 is 312131002214031.

It is not a de Polignac number, because 130412200131213 - 25 = 130412200131181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130412200131203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700347328 + ... + 700533513.

It is an arithmetic number, because the mean of its divisors is an integer number (3765567703296).

Almost surely, 2130412200131213 is an apocalyptic number.

130412200131213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130412200131213 is a deficient number, since it is larger than the sum of its proper divisors (110584132879731).

130412200131213 is a wasteful number, since it uses less digits than its factorization.

130412200131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400880906.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130412200131213 its reverse (312131002214031), we get a palindrome (442543202345244).

The spelling of 130412200131213 in words is "one hundred thirty trillion, four hundred twelve billion, two hundred million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 143 217 231 273 341 403 429 651 1001 1023 1209 2387 2821 3003 4433 7161 8463 13299 31031 93093 1400880841 4202642523 9806165887 15409689251 18211450933 29418497661 43427306071 46229067753 54634352799 107867824757 127480156531 130281918213 200325960263 303991142497 323603474271 382440469593 477700366781 564554978923 600977880789 911973427491 1402281721841 1433101100343 1693664936769 3343902567467 3951884852461 4206845165523 6210104768153 10031707702401 11855654557383 18630314304459 43470733377071 130412200131213