101002031120131 has 48 divisors (see below), whose sum is σ = 113482128549888. Its totient is φ = 89556049440000.

The previous prime is 101002031120119. The next prime is 101002031120197. The reversal of 101002031120131 is 131021130200101.

It is a happy number.

It is not a de Polignac number, because 101002031120131 - 2³⁵ = 100967671381763 is a prime.

It is a super-2 number, since 2×101002031120131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101002031123131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5754764806 + ... + 5754782356.

It is an arithmetic number, because the mean of its divisors is an integer number (2364211011456).

Almost surely, 2^{101002031120131} is an apocalyptic number.

101002031120131 is a deficient number, since it is larger than the sum of its proper divisors (12480097429757).

101002031120131 is a wasteful number, since it uses less digits than its factorization.

101002031120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27232 (or 27209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101002031120131 its reverse (131021130200101), we get a palindrome (232023161320232).

The spelling of 101002031120131 in words is "one hundred one trillion, two billion, thirty-one million, one hundred twenty thousand, one hundred thirty-one".