101311001121133 has 16 divisors (see below), whose sum is σ = 103488801876592. Its totient is φ = 99150594048000.

The previous prime is 101311001121101. The next prime is 101311001121221. The reversal of 101311001121133 is 331121100113101.

It can be written as a sum of positive squares in 8 ways, for example, as 11698328959524 + 89612672161609 = 3420282^2 + 9466397^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311001121133 - 2⁵ = 101311001121101 is a prime.

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 101311001121133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311001181133) 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, 13961773 + ... + 19938733.

It is an arithmetic number, because the mean of its divisors is an integer number (6468050117287).

Almost surely, 2^{101311001121133} is an apocalyptic number.

It is an amenable number.

101311001121133 is a deficient number, since it is larger than the sum of its proper divisors (2177800755459).

101311001121133 is a wasteful number, since it uses less digits than its factorization.

101311001121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978416.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 101311001121133 its reverse (331121100113101), we get a palindrome (432432101234234).

The spelling of 101311001121133 in words is "one hundred one trillion, three hundred eleven billion, one million, one hundred twenty-one thousand, one hundred thirty-three".