101333031121331 has 16 divisors (see below), whose sum is σ = 106375470856704. Its totient is φ = 96343684117824.

The previous prime is 101333031121321. The next prime is 101333031121349. The reversal of 101333031121331 is 133121130333101.

It is a cyclic number.

It is not a de Polignac number, because 101333031121331 - 2³⁸ = 101058153214387 is a prime.

It is a super-2 number, since 2×101333031121331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101333031121331.

It is not an unprimeable number, because it can be changed into a prime (101333031121321) 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, 121123895 + ... + 121957631.

It is an arithmetic number, because the mean of its divisors is an integer number (6648466928544).

Almost surely, 2^{101333031121331} is an apocalyptic number.

101333031121331 is a deficient number, since it is larger than the sum of its proper divisors (5042439735373).

101333031121331 is a wasteful number, since it uses less digits than its factorization.

101333031121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865570.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 101333031121331 its reverse (133121130333101), we get a palindrome (234454161454432).

The spelling of 101333031121331 in words is "one hundred one trillion, three hundred thirty-three billion, thirty-one million, one hundred twenty-one thousand, three hundred thirty-one".