213103140120400 has 60 divisors (see below), whose sum is σ = 517049406060444. Its totient is φ = 84397283200000.

The previous prime is 213103140120391. The next prime is 213103140120427. The reversal of 213103140120400 is 4021041301312.

213103140120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9193193792784 + 203909946327616 = 3032028^2 + 14279704^2 .

It is a super-2 number, since 2×213103140120400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2637374701 + ... + 2637455500.

Almost surely, 2^{213103140120400} is an apocalyptic number.

213103140120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103140120400 is an abundant number, since it is smaller than the sum of its proper divisors (303946265940044).

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

213103140120400 is a wasteful number, since it uses less digits than its factorization.

213103140120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274830320 (or 5274830309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213103140120400 its reverse (4021041301312), we get a palindrome (217124181421712).

The spelling of 213103140120400 in words is "two hundred thirteen trillion, one hundred three billion, one hundred forty million, one hundred twenty thousand, four hundred".