101442314041631 has 16 divisors (see below), whose sum is σ = 102025029150720. Its totient is φ = 100860150933120.

The previous prime is 101442314041613. The next prime is 101442314041697. The reversal of 101442314041631 is 136140413244101.

It is a cyclic number.

It is not a de Polignac number, because 101442314041631 - 2³⁴ = 101425134172447 is a prime.

It is a super-2 number, since 2×101442314041631² (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 = 101442314041591 and 101442314041600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101442314041531) 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, 3428596220 + ... + 3428625806.

It is an arithmetic number, because the mean of its divisors is an integer number (6376564321920).

Almost surely, 2^{101442314041631} is an apocalyptic number.

101442314041631 is a deficient number, since it is larger than the sum of its proper divisors (582715109089).

101442314041631 is a wasteful number, since it uses less digits than its factorization.

101442314041631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38254.

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 101442314041631 its reverse (136140413244101), we get a palindrome (237582727285732).

The spelling of 101442314041631 in words is "one hundred one trillion, four hundred forty-two billion, three hundred fourteen million, forty-one thousand, six hundred thirty-one".