13120414431000 has 128 divisors (see below), whose sum is σ = 41887686297600. Its totient is φ = 3417410236800.

The previous prime is 13120414430951. The next prime is 13120414431001. The reversal of 13120414431000 is 13441402131.

It is a super-2 number, since 2×13120414431000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120414431001) 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, 50725320 + ... + 50983319.

It is an arithmetic number, because the mean of its divisors is an integer number (327247549200).

Almost surely, 2^{13120414431000} is an apocalyptic number.

13120414431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120414431000 is an abundant number, since it is smaller than the sum of its proper divisors (28767271866600).

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

13120414431000 is a wasteful number, since it uses less digits than its factorization.

13120414431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101708706 (or 101708692 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13120414431000 its reverse (13441402131), we get a palindrome (13133855833131).

The spelling of 13120414431000 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred thirty-one thousand".