213431300031 has 32 divisors (see below), whose sum is σ = 290310365376. Its totient is φ = 139438080000.

The previous prime is 213431300011. The next prime is 213431300041. The reversal of 213431300031 is 130003134312.

It is not a de Polignac number, because 213431300031 - 2¹⁵ = 213431267263 is a prime.

It is a super-2 number, since 2×213431300031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213431299980 and 213431300007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213431300011) 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, 99873195 + ... + 99875331.

It is an arithmetic number, because the mean of its divisors is an integer number (9072198918).

Almost surely, 2^213431300031 is an apocalyptic number.

213431300031 is a deficient number, since it is larger than the sum of its proper divisors (76879065345).

213431300031 is a wasteful number, since it uses less digits than its factorization.

213431300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213431300031 its reverse (130003134312), we get a palindrome (343434434343).

The spelling of 213431300031 in words is "two hundred thirteen billion, four hundred thirty-one million, three hundred thousand, thirty-one".