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213130322013 = 37131427318131
BaseRepresentation
bin1100011001111110001…
…1101010000001011101
3202101010102022011011010
43012133203222001131
511442442330301023
6241524414245433
721253365563130
oct3063743520135
9671112264133
10213130322013
118242a5684a4
1235380ab6879
13171376c009b
14a45bc92217
15582606a093
hex319f8ea05d

213130322013 has 32 divisors (see below), whose sum is σ = 327343813632. Its totient is φ = 120824121600.

The previous prime is 213130322003. The next prime is 213130322023. The reversal of 213130322013 is 310223031312.

It is an interprime number because it is at equal distance from previous prime (213130322003) and next prime (213130322023).

It is not a de Polignac number, because 213130322013 - 26 = 213130321949 is a prime.

It is a super-2 number, since 2×2131303220132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130322003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11745958 + ... + 11764088.

It is an arithmetic number, because the mean of its divisors is an integer number (10229494176).

Almost surely, 2213130322013 is an apocalyptic number.

It is an amenable number.

213130322013 is a deficient number, since it is larger than the sum of its proper divisors (114213491619).

213130322013 is a wasteful number, since it uses less digits than its factorization.

213130322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22545.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213130322013 its reverse (310223031312), we get a palindrome (523353353325).

The spelling of 213130322013 in words is "two hundred thirteen billion, one hundred thirty million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 21 131 393 917 2751 4273 12819 18131 29911 54393 89733 126917 380751 559763 1679289 2375161 3918341 7125483 11755023 16626127 49878381 77473763 232421289 542316341 1626949023 10149062953 30447188859 71043440671 213130322013