10102010233113 has 12 divisors (see below), whose sum is σ = 14831002273828. Its totient is φ = 6624269004960.

The previous prime is 10102010233093. The next prime is 10102010233127. The reversal of 10102010233113 is 31133201020101.

It can be written as a sum of positive squares in 2 ways, for example, as 5207172577929 + 4894837655184 = 2281923^2 + 2212428^2 .

It is not a de Polignac number, because 10102010233113 - 2¹⁶ = 10102010167577 is a prime.

It is a super-2 number, since 2×10102010233113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102010238113) 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, 9200373070 + ... + 9200374167.

Almost surely, 2^{10102010233113} is an apocalyptic number.

It is an amenable number.

10102010233113 is a deficient number, since it is larger than the sum of its proper divisors (4728992040715).

10102010233113 is a wasteful number, since it uses less digits than its factorization.

10102010233113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18400747304 (or 18400747301 counting only the distinct ones).

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

Adding to 10102010233113 its reverse (31133201020101), we get a palindrome (41235211253214).

The spelling of 10102010233113 in words is "ten trillion, one hundred two billion, ten million, two hundred thirty-three thousand, one hundred thirteen".