101434110031 has 16 divisors (see below), whose sum is σ = 106187454720. Its totient is φ = 96709757760.

The previous prime is 101434109951. The next prime is 101434110073. The reversal of 101434110031 is 130011434101.

It is a cyclic number.

It is not a de Polignac number, because 101434110031 - 2¹⁵ = 101434077263 is a prime.

It is a super-2 number, since 2×101434110031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101434109990 and 101434110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434110091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14398596 + ... + 14405638.

It is an arithmetic number, because the mean of its divisors is an integer number (6636715920).

Almost surely, 2^101434110031 is an apocalyptic number.

101434110031 is a deficient number, since it is larger than the sum of its proper divisors (4753344689).

101434110031 is a wasteful number, since it uses less digits than its factorization.

101434110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101434110031 its reverse (130011434101), we get a palindrome (231445544132).

The spelling of 101434110031 in words is "one hundred one billion, four hundred thirty-four million, one hundred ten thousand, thirty-one".