101121312331 has 16 divisors (see below), whose sum is σ = 113647141440. Its totient is φ = 89274556800.

The previous prime is 101121312293. The next prime is 101121312343. The reversal of 101121312331 is 133213121101.

It is not a de Polignac number, because 101121312331 - 2²¹ = 101119215179 is a prime.

It is a super-2 number, since 2×101121312331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121312299 and 101121312308.

It is not an unprimeable number, because it can be changed into a prime (101121312371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743765 + ... + 4765033.

It is an arithmetic number, because the mean of its divisors is an integer number (7102946340).

Almost surely, 2^101121312331 is an apocalyptic number.

101121312331 is a deficient number, since it is larger than the sum of its proper divisors (12525829109).

101121312331 is a wasteful number, since it uses less digits than its factorization.

101121312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37206.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101121312331 its reverse (133213121101), we get a palindrome (234334433432).

The spelling of 101121312331 in words is "one hundred one billion, one hundred twenty-one million, three hundred twelve thousand, three hundred thirty-one".