1013100012 has 36 divisors (see below), whose sum is σ = 2562605136. Its totient is φ = 337474080.

The previous prime is 1013099987. The next prime is 1013100013. The reversal of 1013100012 is 2100013101.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1013099967 and 1013100003.

It is not an unprimeable number, because it can be changed into a prime (1013100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50337 + ... + 67527.

It is an arithmetic number, because the mean of its divisors is an integer number (71183476).

Almost surely, 2^1013100012 is an apocalyptic number.

1013100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013100012 is an abundant number, since it is smaller than the sum of its proper divisors (1549505124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013100012 is a wasteful number, since it uses less digits than its factorization.

1013100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838 (or 18833 counting only the distinct ones).

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

The square root of 1013100012 is about 31829.2320359760. The cubic root of 1013100012 is about 1004.3477404250.

Adding to 1013100012 its reverse (2100013101), we get a palindrome (3113113113).

It can be divided in two parts, 1013 and 100012, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 1013100012 in words is "one billion, thirteen million, one hundred thousand, twelve".