13130681310 has 64 divisors (see below), whose sum is σ = 36858067200. Its totient is φ = 3317223456.

The previous prime is 13130681309. The next prime is 13130681351. The reversal of 13130681310 is 1318603131.

It is a super-2 number, since 2×13130681310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274664 + ... + 1284923.

It is an arithmetic number, because the mean of its divisors is an integer number (575907300).

Almost surely, 2^13130681310 is an apocalyptic number.

13130681310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130681310 is an abundant number, since it is smaller than the sum of its proper divisors (23727385890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130681310 is a wasteful number, since it uses less digits than its factorization.

13130681310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559622 (or 2559616 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13130681310 in words is "thirteen billion, one hundred thirty million, six hundred eighty-one thousand, three hundred ten".