213001131120 has 160 divisors (see below), whose sum is σ = 684419908608. Its totient is φ = 54761862144.

The previous prime is 213001131059. The next prime is 213001131121. The reversal of 213001131120 is 21131100312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213001131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001131121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614842 + ... + 896678.

Almost surely, 2^213001131120 is an apocalyptic number.

213001131120 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 213001131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342209954304).

213001131120 is an abundant number, since it is smaller than the sum of its proper divisors (471418777488).

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

213001131120 is a wasteful number, since it uses less digits than its factorization.

213001131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281967 (or 281961 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213001131120 its reverse (21131100312), we get a palindrome (234132231432).

The spelling of 213001131120 in words is "two hundred thirteen billion, one million, one hundred thirty-one thousand, one hundred twenty".