213142100031 has 80 divisors (see below), whose sum is σ = 369486374400. Its totient is φ = 119933307072.

The previous prime is 213142100029. The next prime is 213142100069. The reversal of 213142100031 is 130001241312.

213142100031 is a `hidden beast` number, since 213 + 1 + 421 + 0 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 213142100031 - 2¹ = 213142100029 is a prime.

It is a super-2 number, since 2×213142100031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213142099977 and 213142100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213142100011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10443585 + ... + 10463973.

It is an arithmetic number, because the mean of its divisors is an integer number (4618579680).

Almost surely, 2^213142100031 is an apocalyptic number.

213142100031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213142100031 is a deficient number, since it is larger than the sum of its proper divisors (156344274369).

213142100031 is a wasteful number, since it uses less digits than its factorization.

213142100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20690 (or 20681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213142100031 its reverse (130001241312), we get a palindrome (343143341343).

The spelling of 213142100031 in words is "two hundred thirteen billion, one hundred forty-two million, one hundred thousand, thirty-one".