101102011313031 has 24 divisors (see below), whose sum is σ = 147550696884864. Its totient is φ = 66702444226560.

The previous prime is 101102011312957. The next prime is 101102011313033. The reversal of 101102011313031 is 130313110201101.

101102011313031 is a `hidden beast` number, since 10 + 110 + 201 + 1 + 313 + 0 + 31 = 666.

It is not a de Polignac number, because 101102011313031 - 2¹⁹ = 101102010788743 is a prime.

It is a super-2 number, since 2×101102011313031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102011312995 and 101102011313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102011313033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10961290 + ... + 17954216.

It is an arithmetic number, because the mean of its divisors is an integer number (6147945703536).

Almost surely, 2^{101102011313031} is an apocalyptic number.

101102011313031 is a deficient number, since it is larger than the sum of its proper divisors (46448685571833).

101102011313031 is a wasteful number, since it uses less digits than its factorization.

101102011313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009591 (or 7009588 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101102011313031 its reverse (130313110201101), we get a palindrome (231415121514132).

The spelling of 101102011313031 in words is "one hundred one trillion, one hundred two billion, eleven million, three hundred thirteen thousand, thirty-one".