101121033131033 has 16 divisors (see below), whose sum is σ = 106330672014336. Its totient is φ = 95979255749520.

The previous prime is 101121033131017. The next prime is 101121033131051. The reversal of 101121033131033 is 330131330121101.

It is a cyclic number.

It is not a de Polignac number, because 101121033131033 - 2⁴ = 101121033131017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121033131533) 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, 41240516 + ... + 43623642.

It is an arithmetic number, because the mean of its divisors is an integer number (6645667000896).

Almost surely, 2^{101121033131033} is an apocalyptic number.

It is an amenable number.

101121033131033 is a deficient number, since it is larger than the sum of its proper divisors (5209638883303).

101121033131033 is a wasteful number, since it uses less digits than its factorization.

101121033131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397364.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101121033131033 its reverse (330131330121101), we get a palindrome (431252363252134).

The spelling of 101121033131033 in words is "one hundred one trillion, one hundred twenty-one billion, thirty-three million, one hundred thirty-one thousand, thirty-three".