101315435315240 has 128 divisors (see below), whose sum is σ = 238573988357760. Its totient is φ = 38681085441024.

The previous prime is 101315435315219. The next prime is 101315435315291. The reversal of 101315435315240 is 42513534513101.

It is a junction number, because it is equal to n+sod(n) for n = 101315435315194 and 101315435315203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541691579 + ... + 541878581.

It is an arithmetic number, because the mean of its divisors is an integer number (1863859284045).

Almost surely, 2^{101315435315240} is an apocalyptic number.

101315435315240 is a gapful number since it is divisible by the number (10) 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 101315435315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119286994178880).

101315435315240 is an abundant number, since it is smaller than the sum of its proper divisors (137258553042520).

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

101315435315240 is a wasteful number, since it uses less digits than its factorization.

101315435315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194011 (or 194007 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 101315435315240 its reverse (42513534513101), we get a palindrome (143828969828341).

The spelling of 101315435315240 in words is "one hundred one trillion, three hundred fifteen billion, four hundred thirty-five million, three hundred fifteen thousand, two hundred forty".