10013131310 has 192 divisors, whose sum is σ = 23557564800. Its totient is φ = 2980260864.

The previous prime is 10013131279. The next prime is 10013131319. The reversal of 10013131310 is 1313131001.

It is a happy number.

It is a super-2 number, since 2×10013131310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013131319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91863536 + ... + 91863644.

It is an arithmetic number, because the mean of its divisors is an integer number (122695650).

Almost surely, 2^10013131310 is an apocalyptic number.

10013131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10013131310 is an abundant number, since it is smaller than the sum of its proper divisors (13544433490).

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

10013131310 is a wasteful number, since it uses less digits than its factorization.

10013131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10013131310 its reverse (1313131001), we get a palindrome (11326262311).

The spelling of 10013131310 in words is "ten billion, thirteen million, one hundred thirty-one thousand, three hundred ten".