101001020131 has 16 divisors (see below), whose sum is σ = 110531675520. Its totient is φ = 91528859520.

The previous prime is 101001020093. The next prime is 101001020191. The reversal of 101001020131 is 131020100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001020131 is a prime.

It is a super-2 number, since 2×101001020131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001020191) 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, 5988196 + ... + 6005038.

It is an arithmetic number, because the mean of its divisors is an integer number (6908229720).

Almost surely, 2^101001020131 is an apocalyptic number.

101001020131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001020131 is a deficient number, since it is larger than the sum of its proper divisors (9530655389).

101001020131 is a wasteful number, since it uses less digits than its factorization.

101001020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101001020131 its reverse (131020100101), we get a palindrome (232021120232).

The spelling of 101001020131 in words is "one hundred one billion, one million, twenty thousand, one hundred thirty-one".