101013132000313 has 16 divisors (see below), whose sum is σ = 109206552333312. Its totient is φ = 92880303048000.

The previous prime is 101013132000301. The next prime is 101013132000331. The reversal of 101013132000313 is 313000231310101.

It is not a de Polignac number, because 101013132000313 - 2²⁵ = 101013098445881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101013132004313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14833728 + ... + 20544238.

It is an arithmetic number, because the mean of its divisors is an integer number (6825409520832).

Almost surely, 2^{101013132000313} is an apocalyptic number.

101013132000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101013132000313 is a deficient number, since it is larger than the sum of its proper divisors (8193420332999).

101013132000313 is a wasteful number, since it uses less digits than its factorization.

101013132000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715816.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101013132000313 its reverse (313000231310101), we get a palindrome (414013363310414).

The spelling of 101013132000313 in words is "one hundred one trillion, thirteen billion, one hundred thirty-two million, three hundred thirteen", and thus it is an aban number.