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213131210013 = 33311901133949
BaseRepresentation
bin1100011001111110011…
…1000010110100011101
3202101010110222021021000
43012133213002310131
511442443042210023
6241524445300513
721253406252061
oct3063747026435
9671113867230
10213131210013
1182430014687
1235381264739
1317137941327
14a45c043aa1
155826193243
hex319f9c2d1d

213131210013 has 32 divisors (see below), whose sum is σ = 326109312000. Its totient is φ = 137430648000.

The previous prime is 213131210011. The next prime is 213131210021. The reversal of 213131210013 is 310012131312.

It is not a de Polignac number, because 213131210013 - 21 = 213131210011 is a prime.

It is a super-2 number, since 2×2131312100132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131210011) 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, 1524163 + ... + 1658111.

It is an arithmetic number, because the mean of its divisors is an integer number (10190916000).

Almost surely, 2213131210013 is an apocalyptic number.

It is an amenable number.

213131210013 is a deficient number, since it is larger than the sum of its proper divisors (112978101987).

213131210013 is a wasteful number, since it uses less digits than its factorization.

213131210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135890 (or 135884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213131210013 its reverse (310012131312), we get a palindrome (523143341325).

The spelling of 213131210013 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred ten thousand, thirteen".

Divisors: 1 3 9 27 31 93 279 837 1901 5703 17109 51327 58931 133949 176793 401847 530379 1205541 1591137 3616623 4152419 12457257 37371771 112115313 254637049 763911147 2291733441 6875200323 7893748519 23681245557 71043736671 213131210013