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131001100333201 = 71922319911326319
BaseRepresentation
bin11101110010010100010010…
…000011001111000010010001
3122011211120201220220102122101
4131302110102003033002101
5114132310223141130301
61142341024044240401
736410342250142150
oct3562242203170221
9564746656812571
10131001100333201
1138817288a457aa
1212838a83540101
1358134737ba257
14244c6b67cd597
15102298c70e701
hex7725120cf091

131001100333201 has 48 divisors (see below), whose sum is σ = 165708592128000. Its totient is φ = 101240429358816.

The previous prime is 131001100333171. The next prime is 131001100333217. The reversal of 131001100333201 is 102333001100131.

It is not a de Polignac number, because 131001100333201 - 237 = 130863661379729 is a prime.

It is a super-2 number, since 2×1310011003332012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001100333231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5902920 + ... + 17229238.

It is an arithmetic number, because the mean of its divisors is an integer number (3452262336000).

Almost surely, 2131001100333201 is an apocalyptic number.

It is an amenable number.

131001100333201 is a deficient number, since it is larger than the sum of its proper divisors (34707491794799).

131001100333201 is a wasteful number, since it uses less digits than its factorization.

131001100333201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326586 (or 11326567 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131001100333201 its reverse (102333001100131), we get a palindrome (233334101433332).

The spelling of 131001100333201 in words is "one hundred thirty-one trillion, one billion, one hundred million, three hundred thirty-three thousand, two hundred one".

Divisors: 1 7 19 23 133 161 199 361 437 1393 2527 3059 3781 4577 8303 26467 32039 58121 71839 86963 502873 608741 1652297 11326319 11566079 79284233 215200061 260505337 1506400427 1823537359 2253937481 4088801159 4949601403 15777562367 28621608113 34647209821 42824812139 51840562063 94042426657 299773684973 362883934441 658296986599 813671430641 984970679197 5695700014487 6894794754379 18714442904743 131001100333201