101315535123321 has 12 divisors (see below), whose sum is σ = 146385234295872. Its totient is φ = 67524964335576.

The previous prime is 101315535123269. The next prime is 101315535123329. The reversal of 101315535123321 is 123321535513101.

101315535123321 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 55 + 351 + 233 + 21 = 666.

It is not a de Polignac number, because 101315535123321 - 2²³ = 101315526734713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101315535123329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1560444621 + ... + 1560509546.

It is an arithmetic number, because the mean of its divisors is an integer number (12198769524656).

Almost surely, 2^{101315535123321} is an apocalyptic number.

It is an amenable number.

101315535123321 is a deficient number, since it is larger than the sum of its proper divisors (45069699172551).

101315535123321 is a wasteful number, since it uses less digits than its factorization.

101315535123321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120957780 (or 3120957777 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 101315535123321 in words is "one hundred one trillion, three hundred fifteen billion, five hundred thirty-five million, one hundred twenty-three thousand, three hundred twenty-one".