101531211264 has 600 divisors, whose sum is σ = 373383992520. Its totient is φ = 27293220864.

The previous prime is 101531211263. The next prime is 101531211277. The reversal of 101531211264 is 462112135101.

101531211264 is a `hidden beast` number, since 1 + 0 + 1 + 531 + 2 + 1 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101531211263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34544707 + ... + 34547645.

Almost surely, 2^101531211264 is an apocalyptic number.

101531211264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101531211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186691996260).

101531211264 is an abundant number, since it is smaller than the sum of its proper divisors (271852781256).

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

101531211264 is an equidigital number, since it uses as much as digits as its factorization.

101531211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 101531211264 its reverse (462112135101), we get a palindrome (563643346365).

The spelling of 101531211264 in words is "one hundred one billion, five hundred thirty-one million, two hundred eleven thousand, two hundred sixty-four".