13031111213010 has 192 divisors, whose sum is σ = 38431058964480. Its totient is φ = 3150719570880.

The previous prime is 13031111212961. The next prime is 13031111213047. The reversal of 13031111213010 is 1031211113031.

13031111213010 is a `hidden beast` number, since 1 + 30 + 311 + 1 + 1 + 21 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9487519 + ... + 10773821.

It is an arithmetic number, because the mean of its divisors is an integer number (200161765440).

Almost surely, 2^{13031111213010} is an apocalyptic number.

13031111213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031111213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215529482240).

13031111213010 is an abundant number, since it is smaller than the sum of its proper divisors (25399947751470).

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

13031111213010 is a wasteful number, since it uses less digits than its factorization.

13031111213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286715 (or 1286703 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13031111213010 its reverse (1031211113031), we get a palindrome (14062322326041).

The spelling of 13031111213010 in words is "thirteen trillion, thirty-one billion, one hundred eleven million, two hundred thirteen thousand, ten".