213131354031 has 64 divisors (see below), whose sum is σ = 326824058880. Its totient is φ = 137189052000.

The previous prime is 213131354021. The next prime is 213131354057. The reversal of 213131354031 is 130453131312.

213131354031 is a `hidden beast` number, since 213 + 13 + 1 + 35 + 403 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-213131354031 is a prime.

It is a super-2 number, since 2×213131354031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213131353986 and 213131354004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131354011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41214076 + ... + 41219246.

It is an arithmetic number, because the mean of its divisors is an integer number (5106625920).

Almost surely, 2^213131354031 is an apocalyptic number.

213131354031 is a deficient number, since it is larger than the sum of its proper divisors (113692704849).

213131354031 is a wasteful number, since it uses less digits than its factorization.

213131354031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 213131354031 its reverse (130453131312), we get a palindrome (343584485343).

The spelling of 213131354031 in words is "two hundred thirteen billion, one hundred thirty-one million, three hundred fifty-four thousand, thirty-one".