101064635331 has 32 divisors (see below), whose sum is σ = 150022070016. Its totient is φ = 60003504000.

The previous prime is 101064635297. The next prime is 101064635341. The reversal of 101064635331 is 133536460101.

It is not a de Polignac number, because 101064635331 - 2¹¹ = 101064633283 is a prime.

It is a super-2 number, since 2×101064635331² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 101064635292 and 101064635301.

It is not an unprimeable number, because it can be changed into a prime (101064635341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273921 + ... + 526461.

It is an arithmetic number, because the mean of its divisors is an integer number (4688189688).

Almost surely, 2^101064635331 is an apocalyptic number.

101064635331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101064635331 is a deficient number, since it is larger than the sum of its proper divisors (48957434685).

101064635331 is a wasteful number, since it uses less digits than its factorization.

101064635331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252803.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 101064635331 in words is "one hundred one billion, sixty-four million, six hundred thirty-five thousand, three hundred thirty-one".