213102353122400 has 144 divisors (see below), whose sum is σ = 595100546127360. Its totient is φ = 72996692390400.

The previous prime is 213102353122369. The next prime is 213102353122457. The reversal of 213102353122400 is 4221353201312.

It is a super-2 number, since 2×213102353122400² (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 23 ways as a sum of consecutive naturals, for example, 11330360 + ... + 23549559.

It is an arithmetic number, because the mean of its divisors is an integer number (4132642681440).

Almost surely, 2^{213102353122400} is an apocalyptic number.

213102353122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213102353122400 is an abundant number, since it is smaller than the sum of its proper divisors (381998193004960).

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

213102353122400 is a wasteful number, since it uses less digits than its factorization.

213102353122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34881037 (or 34881024 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 213102353122400 in words is "two hundred thirteen trillion, one hundred two billion, three hundred fifty-three million, one hundred twenty-two thousand, four hundred".