21132012213000 has 256 divisors, whose sum is σ = 78892846905600. Its totient is φ = 5201725996800.

The previous prime is 21132012212953. The next prime is 21132012213017. The reversal of 21132012213000 is 31221023112.

21132012213000 is a `hidden beast` number, since 2 + 11 + 320 + 12 + 21 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29751582 + ... + 30453581.

It is an arithmetic number, because the mean of its divisors is an integer number (308175183225).

Almost surely, 2^{21132012213000} is an apocalyptic number.

21132012213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132012213000 is an abundant number, since it is smaller than the sum of its proper divisors (57760834692600).

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

21132012213000 is a wasteful number, since it uses less digits than its factorization.

21132012213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60205206 (or 60205186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21132012213000 its reverse (31221023112), we get a palindrome (21163233236112).

The spelling of 21132012213000 in words is "twenty-one trillion, one hundred thirty-two billion, twelve million, two hundred thirteen thousand".