13006151400 has 96 divisors (see below), whose sum is σ = 43984461600. Its totient is φ = 3153004800.

The previous prime is 13006151387. The next prime is 13006151413. The reversal of 13006151400 is 415160031.

13006151400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13006151387) and next prime (13006151413).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978715 + ... + 991914.

It is an arithmetic number, because the mean of its divisors is an integer number (458171475).

Almost surely, 2^13006151400 is an apocalyptic number.

13006151400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006151400 is an abundant number, since it is smaller than the sum of its proper divisors (30978310200).

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

13006151400 is a wasteful number, since it uses less digits than its factorization.

13006151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970659 (or 1970650 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 13006151400 in words is "thirteen billion, six million, one hundred fifty-one thousand, four hundred".