101331010202013 has 6 divisors (see below), whose sum is σ = 146367014736254. Its totient is φ = 67554006801336.

The previous prime is 101331010201991. The next prime is 101331010202029. The reversal of 101331010202013 is 310202010133101.

101331010202013 is a `hidden beast` number, since 101 + 331 + 0 + 10 + 20 + 201 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51462301680729 + 49868708521284 = 7173723^2 + 7061778^2 .

It is not a de Polignac number, because 101331010202013 - 2¹⁰ = 101331010200989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331010202413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5629500566770 + ... + 5629500566787.

Almost surely, 2^{101331010202013} is an apocalyptic number.

It is an amenable number.

101331010202013 is a deficient number, since it is larger than the sum of its proper divisors (45036004534241).

101331010202013 is a wasteful number, since it uses less digits than its factorization.

101331010202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259001133563 (or 11259001133560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101331010202013 its reverse (310202010133101), we get a palindrome (411533020335114).

The spelling of 101331010202013 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, two hundred two thousand, thirteen".