101002031121131 has 8 divisors (see below), whose sum is σ = 115432544381184. Its totient is φ = 86571930778920.

The previous prime is 101002031121077. The next prime is 101002031121157. The reversal of 101002031121131 is 131121130200101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002031121131 is a prime.

It is a super-3 number, since 3×101002031121131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 102705125 + ... + 103683878.

It is an arithmetic number, because the mean of its divisors is an integer number (14429068047648).

Almost surely, 2^{101002031121131} is an apocalyptic number.

101002031121131 is a deficient number, since it is larger than the sum of its proper divisors (14430513260053).

101002031121131 is an equidigital number, since it uses as much as digits as its factorization.

101002031121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206458921.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101002031121131 its reverse (131121130200101), we get a palindrome (232123161321232).

The spelling of 101002031121131 in words is "one hundred one trillion, two billion, thirty-one million, one hundred twenty-one thousand, one hundred thirty-one".