213311031120 has 800 divisors, whose sum is σ = 829064865024. Its totient is φ = 50396774400.

The previous prime is 213311031103. The next prime is 213311031139. The reversal of 213311031120 is 21130113312.

213311031120 is a `hidden beast` number, since 2 + 1 + 331 + 1 + 0 + 311 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213311031093 and 213311031102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 571879254 + ... + 571879626.

Almost surely, 2^213311031120 is an apocalyptic number.

213311031120 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 213311031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414532432512).

213311031120 is an abundant number, since it is smaller than the sum of its proper divisors (615753833904).

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

213311031120 is a wasteful number, since it uses less digits than its factorization.

213311031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213311031120 its reverse (21130113312), we get a palindrome (234441144432).

It can be divided in two parts, 2133 and 11031120, that added together give a triangular number (11033253 = T₄₆₉₇).

The spelling of 213311031120 in words is "two hundred thirteen billion, three hundred eleven million, thirty-one thousand, one hundred twenty".