101437913457 has 12 divisors (see below), whose sum is σ = 146612515140. Its totient is φ = 67583236608.

The previous prime is 101437913413. The next prime is 101437913461. The reversal of 101437913457 is 754319734101.

101437913457 is a `hidden beast` number, since 101 + 4 + 3 + 7 + 91 + 3 + 457 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99988131681 + 1449781776 = 316209^2 + 38076^2 .

It is not a de Polignac number, because 101437913457 - 2⁸ = 101437913201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101437913257) 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, 3487968 + ... + 3516929.

It is an arithmetic number, because the mean of its divisors is an integer number (12217709595).

Almost surely, 2^101437913457 is an apocalyptic number.

It is an amenable number.

101437913457 is a deficient number, since it is larger than the sum of its proper divisors (45174601683).

101437913457 is a wasteful number, since it uses less digits than its factorization.

101437913457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006512 (or 7006509 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 101437913457 in words is "one hundred one billion, four hundred thirty-seven million, nine hundred thirteen thousand, four hundred fifty-seven".