101314501425513 has 48 divisors (see below), whose sum is σ = 147293501121936. Its totient is φ = 67105350696960.

The previous prime is 101314501425443. The next prime is 101314501425551. The reversal of 101314501425513 is 315524105413101.

101314501425513 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 450 + 142 + 55 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 379465856064 + 100935035569449 = 616008^2 + 10046643^2 .

It is not a de Polignac number, because 101314501425513 - 2¹⁰ = 101314501424489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101314501425593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5634521983 + ... + 5634539963.

It is an arithmetic number, because the mean of its divisors is an integer number (3068614606707).

Almost surely, 2^{101314501425513} is an apocalyptic number.

It is an amenable number.

101314501425513 is a deficient number, since it is larger than the sum of its proper divisors (45978999696423).

101314501425513 is a wasteful number, since it uses less digits than its factorization.

101314501425513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22234 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 101314501425513 its reverse (315524105413101), we get a palindrome (416838606838614).

The spelling of 101314501425513 in words is "one hundred one trillion, three hundred fourteen billion, five hundred one million, four hundred twenty-five thousand, five hundred thirteen".