13012114431120 has 320 divisors, whose sum is σ = 47045954580480. Its totient is φ = 2913354123264.

The previous prime is 13012114431089. The next prime is 13012114431149. The reversal of 13012114431120 is 2113441121031.

It is a super-2 number, since 2×13012114431120² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54997717 + ... + 55233803.

It is an arithmetic number, because the mean of its divisors is an integer number (147018608064).

Almost surely, 2^{13012114431120} is an apocalyptic number.

13012114431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012114431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522977290240).

13012114431120 is an abundant number, since it is smaller than the sum of its proper divisors (34033840149360).

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

13012114431120 is a wasteful number, since it uses less digits than its factorization.

13012114431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236782 (or 236776 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13012114431120 its reverse (2113441121031), we get a palindrome (15125555552151).

The spelling of 13012114431120 in words is "thirteen trillion, twelve billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred twenty".