101531503201360 has 40 divisors (see below), whose sum is σ = 236082073295880. Its totient is φ = 40608931886592.

The previous prime is 101531503201327. The next prime is 101531503201369. The reversal of 101531503201360 is 63102305135101.

It can be written as a sum of positive squares in 4 ways, for example, as 11954970099216 + 89576533102144 = 3457596^2 + 9464488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101531503201360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101531503201369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56443227 + ... + 58214266.

It is an arithmetic number, because the mean of its divisors is an integer number (5902051832397).

Almost surely, 2^{101531503201360} is an apocalyptic number.

101531503201360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101531503201360 is an abundant number, since it is smaller than the sum of its proper divisors (134550570094520).

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

101531503201360 is a wasteful number, since it uses less digits than its factorization.

101531503201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114668575 (or 114668569 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

Adding to 101531503201360 its reverse (63102305135101), we get a palindrome (164633808336461).

The spelling of 101531503201360 in words is "one hundred one trillion, five hundred thirty-one billion, five hundred three million, two hundred one thousand, three hundred sixty".