1012100013 has 12 divisors (see below), whose sum is σ = 1465258080. Its totient is φ = 673193736.

The previous prime is 1012100009. The next prime is 1012100039. The reversal of 1012100013 is 3100012101.

It is not a de Polignac number, because 1012100013 - 2² = 1012100009 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 = 1012099968 and 1012100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100213) 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, 124131 + ... + 132032.

It is an arithmetic number, because the mean of its divisors is an integer number (122104840).

Almost surely, 2^1012100013 is an apocalyptic number.

It is an amenable number.

1012100013 is a deficient number, since it is larger than the sum of its proper divisors (453158067).

1012100013 is a wasteful number, since it uses less digits than its factorization.

1012100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256608 (or 256605 counting only the distinct ones).

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

The square root of 1012100013 is about 31813.5193431975. The cubic root of 1012100013 is about 1004.0171783355.

Adding to 1012100013 its reverse (3100012101), we get a palindrome (4112112114).

It can be divided in two parts, 1012 and 100013, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 1012100013 in words is "one billion, twelve million, one hundred thousand, thirteen".