101410134010031 has 16 divisors (see below), whose sum is σ = 126566923334400. Its totient is φ = 78937440204480.

The previous prime is 101410134010027. The next prime is 101410134010057. The reversal of 101410134010031 is 130010431014101.

It is not a de Polignac number, because 101410134010031 - 2² = 101410134010027 is a prime.

It is a super-2 number, since 2×101410134010031² (a number of 29 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 = 101410134009985 and 101410134010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101410134010021) 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, 695288606 + ... + 695434443.

It is an arithmetic number, because the mean of its divisors is an integer number (7910432708400).

Almost surely, 2^{101410134010031} is an apocalyptic number.

101410134010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101410134010031 is a deficient number, since it is larger than the sum of its proper divisors (25156789324369).

101410134010031 is a wasteful number, since it uses less digits than its factorization.

101410134010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390724014.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101410134010031 its reverse (130010431014101), we get a palindrome (231420565024132).

The spelling of 101410134010031 in words is "one hundred one trillion, four hundred ten billion, one hundred thirty-four million, ten thousand, thirty-one".