101131134344031 has 48 divisors (see below), whose sum is σ = 148802538465504. Its totient is φ = 61048786656000.

The previous prime is 101131134343963. The next prime is 101131134344057. The reversal of 101131134344031 is 130443431131101.

It is not a de Polignac number, because 101131134344031 - 2³⁵ = 101096774605663 is a prime.

It is a super-2 number, since 2×101131134344031² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101131134344031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131134354031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92667561 + ... + 93752541.

It is an arithmetic number, because the mean of its divisors is an integer number (3100052884698).

Almost surely, 2^{101131134344031} is an apocalyptic number.

101131134344031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101131134344031 is a deficient number, since it is larger than the sum of its proper divisors (47671404121473).

101131134344031 is a wasteful number, since it uses less digits than its factorization.

101131134344031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086024 (or 1086013 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 101131134344031 its reverse (130443431131101), we get a palindrome (231574565475132).

The spelling of 101131134344031 in words is "one hundred one trillion, one hundred thirty-one billion, one hundred thirty-four million, three hundred forty-four thousand, thirty-one".