20100101013 has 12 divisors (see below), whose sum is σ = 29038359168. Its totient is φ = 13397815080.

The previous prime is 20100101003. The next prime is 20100101027. The reversal of 20100101013 is 31010100102.

It is not a de Polignac number, because 20100101013 - 2⁶ = 20100100949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100100986 and 20100101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100101003) 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, 130243 + ... + 239088.

It is an arithmetic number, because the mean of its divisors is an integer number (2419863264).

Almost surely, 2^20100101013 is an apocalyptic number.

It is an amenable number.

20100101013 is a deficient number, since it is larger than the sum of its proper divisors (8938258155).

20100101013 is a wasteful number, since it uses less digits than its factorization.

20100101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375384 (or 375381 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20100101013 its reverse (31010100102), we get a palindrome (51110201115).

The spelling of 20100101013 in words is "twenty billion, one hundred million, one hundred one thousand, thirteen".