101131222131 has 12 divisors (see below), whose sum is σ = 146095032720. Its totient is φ = 67413152880.

The previous prime is 101131222121. The next prime is 101131222183. The reversal of 101131222131 is 131222131101.

101131222131 is a `hidden beast` number, since 101 + 1 + 312 + 221 + 31 = 666.

It is not a de Polignac number, because 101131222131 - 2³⁰ = 100057480307 is a prime.

It is a super-2 number, since 2×101131222131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101131222121) 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, 554311 + ... + 713808.

It is an arithmetic number, because the mean of its divisors is an integer number (12174586060).

Almost surely, 2^101131222131 is an apocalyptic number.

101131222131 is a deficient number, since it is larger than the sum of its proper divisors (44963810589).

101131222131 is a wasteful number, since it uses less digits than its factorization.

101131222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276986 (or 1276983 counting only the distinct ones).

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

Adding to 101131222131 its reverse (131222131101), we get a palindrome (232353353232).

It can be divided in two parts, 101 and 131222131, that multiplied together give a palindrome (13253435231).

The spelling of 101131222131 in words is "one hundred one billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty-one".