101413500464 has 60 divisors (see below), whose sum is σ = 209428872480. Its totient is φ = 47562076800.

The previous prime is 101413500443. The next prime is 101413500479. The reversal of 101413500464 is 464005314101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496457 + ... + 670295.

It is an arithmetic number, because the mean of its divisors is an integer number (3490481208).

Almost surely, 2^101413500464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101413500464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104714436240).

101413500464 is an abundant number, since it is smaller than the sum of its proper divisors (108015372016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101413500464 is a wasteful number, since it uses less digits than its factorization.

101413500464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173986 (or 173961 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 101413500464 its reverse (464005314101), we get a palindrome (565418814565).

The spelling of 101413500464 in words is "one hundred one billion, four hundred thirteen million, five hundred thousand, four hundred sixty-four".