101012331331 has 16 divisors (see below), whose sum is σ = 114211434240. Its totient is φ = 88831088640.

The previous prime is 101012331313. The next prime is 101012331341. The reversal of 101012331331 is 133133210101.

It is a cyclic number.

It is not a de Polignac number, because 101012331331 - 2¹⁷ = 101012200259 is a prime.

It is a super-2 number, since 2×101012331331² (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 = 101012331299 and 101012331308.

It is not an unprimeable number, because it can be changed into a prime (101012331341) 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, 3289446 + ... + 3320011.

It is an arithmetic number, because the mean of its divisors is an integer number (7138214640).

Almost surely, 2^101012331331 is an apocalyptic number.

101012331331 is a deficient number, since it is larger than the sum of its proper divisors (13199102909).

101012331331 is a wasteful number, since it uses less digits than its factorization.

101012331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609534.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101012331331 its reverse (133133210101), we get a palindrome (234145541432).

It can be divided in two parts, 10101 and 2331331, that added together give a palindrome (2341432).

The spelling of 101012331331 in words is "one hundred one billion, twelve million, three hundred thirty-one thousand, three hundred thirty-one".