101300202113 has 12 divisors (see below), whose sum is σ = 111760466580. Its totient is φ = 91748717280.

The previous prime is 101300202097. The next prime is 101300202121. The reversal of 101300202113 is 311202003101.

It can be written as a sum of positive squares in 2 ways, for example, as 52914721024 + 48385481089 = 230032^2 + 219967^2 .

It is not a de Polignac number, because 101300202113 - 2⁴ = 101300202097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101300202163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1523570 + ... + 1588667.

It is an arithmetic number, because the mean of its divisors is an integer number (9313372215).

Almost surely, 2^101300202113 is an apocalyptic number.

It is an amenable number.

101300202113 is a deficient number, since it is larger than the sum of its proper divisors (10460264467).

101300202113 is a wasteful number, since it uses less digits than its factorization.

101300202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112528 (or 3112517 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101300202113 its reverse (311202003101), we get a palindrome (412502205214).

The spelling of 101300202113 in words is "one hundred one billion, three hundred million, two hundred two thousand, one hundred thirteen".