213113311040120 has 64 divisors (see below), whose sum is σ = 482036401866240. Its totient is φ = 84795374592000.

The previous prime is 213113311040099. The next prime is 213113311040159. The reversal of 213113311040120 is 21040113311312.

213113311040120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213113311040120² (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 15 ways as a sum of consecutive naturals, for example, 78183785 + ... + 80863655.

It is an arithmetic number, because the mean of its divisors is an integer number (7531818779160).

Almost surely, 2^{213113311040120} is an apocalyptic number.

213113311040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213113311040120 is an abundant number, since it is smaller than the sum of its proper divisors (268923090826120).

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

213113311040120 is a wasteful number, since it uses less digits than its factorization.

213113311040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690376 (or 2690372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 213113311040120 its reverse (21040113311312), we get a palindrome (234153424351432).

The spelling of 213113311040120 in words is "two hundred thirteen trillion, one hundred thirteen billion, three hundred eleven million, forty thousand, one hundred twenty".