213119032086900 has 144 divisors (see below), whose sum is σ = 685348608631680. Its totient is φ = 56814290438400.

The previous prime is 213119032086859. The next prime is 213119032086913. The reversal of 213119032086900 is 9680230911312.

It is a happy number.

213119032086900 is a `hidden beast` number, since 2 + 1 + 311 + 9 + 0 + 320 + 8 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×213119032086900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3323536 + ... + 20911335.

It is an arithmetic number, because the mean of its divisors is an integer number (4759365337720).

Almost surely, 2^{213119032086900} is an apocalyptic number.

213119032086900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213119032086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342674304315840).

213119032086900 is an abundant number, since it is smaller than the sum of its proper divisors (472229576544780).

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

213119032086900 is a wasteful number, since it uses less digits than its factorization.

213119032086900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24238151 (or 24238138 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 213119032086900 in words is "two hundred thirteen trillion, one hundred nineteen billion, thirty-two million, eighty-six thousand, nine hundred".