101400013 has 16 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 84502080.

The previous prime is 101400007. The next prime is 101400023. The reversal of 101400013 is 310004101.

It is a happy number.

It is not a de Polignac number, because 101400013 - 2⁵ = 101399981 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 (101400023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18928 + ... + 23686.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2^101400013 is an apocalyptic number.

101400013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101400013 is a deficient number, since it is larger than the sum of its proper divisors (18551987).

101400013 is a wasteful number, since it uses less digits than its factorization.

101400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101400013 is about 10069.7573456365. The cubic root of 101400013 is about 466.3149476234.

Adding to 101400013 its reverse (310004101), we get a palindrome (411404114).

The spelling of 101400013 in words is "one hundred one million, four hundred thousand, thirteen".