101020313331 has 48 divisors (see below), whose sum is σ = 167906269440. Its totient is φ = 57331108800.

The previous prime is 101020313281. The next prime is 101020313363. The reversal of 101020313331 is 133313020101.

It is a happy number.

101020313331 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 20 + 313 + 331 = 666.

It is not a de Polignac number, because 101020313331 - 2¹¹ = 101020311283 is a prime.

It is a super-2 number, since 2×101020313331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101020311331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11450440 + ... + 11459258.

It is an arithmetic number, because the mean of its divisors is an integer number (3498047280).

Almost surely, 2^101020313331 is an apocalyptic number.

101020313331 is a deficient number, since it is larger than the sum of its proper divisors (66885956109).

101020313331 is a wasteful number, since it uses less digits than its factorization.

101020313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101020313331 its reverse (133313020101), we get a palindrome (234333333432).

The spelling of 101020313331 in words is "one hundred one billion, twenty million, three hundred thirteen thousand, three hundred thirty-one".