101112322131 has 12 divisors (see below), whose sum is σ = 149998460352. Its totient is φ = 65586370896.

The previous prime is 101112322109. The next prime is 101112322133. The reversal of 101112322131 is 131223211101.

101112322131 is a `hidden beast` number, since 101 + 112 + 322 + 131 = 666.

It is not a de Polignac number, because 101112322131 - 2²¹ = 101110224979 is a prime.

It is a super-2 number, since 2×101112322131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101112322133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151819971 + ... + 151820636.

It is an arithmetic number, because the mean of its divisors is an integer number (12499871696).

Almost surely, 2^101112322131 is an apocalyptic number.

101112322131 is a deficient number, since it is larger than the sum of its proper divisors (48886138221).

101112322131 is a wasteful number, since it uses less digits than its factorization.

101112322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303640650 (or 303640647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101112322131 its reverse (131223211101), we get a palindrome (232335533232).

The spelling of 101112322131 in words is "one hundred one billion, one hundred twelve million, three hundred twenty-two thousand, one hundred thirty-one".