213132010020000 has 240 divisors, whose sum is σ = 740240071002432. Its totient is φ = 53491955200000.

The previous prime is 213132010019953. The next prime is 213132010020029. The reversal of 213132010020000 is 20010231312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103456476 + ... + 105496475.

Almost surely, 2^{213132010020000} is an apocalyptic number.

213132010020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132010020000 is an abundant number, since it is smaller than the sum of its proper divisors (527108060982432).

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

213132010020000 is a wasteful number, since it uses less digits than its factorization.

213132010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208953001 (or 208952978 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213132010020000 its reverse (20010231312), we get a palindrome (213152020251312).

The spelling of 213132010020000 in words is "two hundred thirteen trillion, one hundred thirty-two billion, ten million, twenty thousand".