1013132100101 has 4 divisors (see below), whose sum is σ = 1105235018304. Its totient is φ = 921029181900.

The previous prime is 1013132100049. The next prime is 1013132100163. The reversal of 1013132100101 is 1010012313101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013132100101 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 (1013132100601) 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 3 ways as a sum of consecutive naturals, for example, 46051459085 + ... + 46051459106.

It is an arithmetic number, because the mean of its divisors is an integer number (276308754576).

Almost surely, 2^{1013132100101} is an apocalyptic number.

1013132100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013132100101 is a deficient number, since it is larger than the sum of its proper divisors (92102918203).

1013132100101 is an equidigital number, since it uses as much as digits as its factorization.

1013132100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92102918202.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1013132100101 its reverse (1010012313101), we get a palindrome (2023144413202).

The spelling of 1013132100101 in words is "one trillion, thirteen billion, one hundred thirty-two million, one hundred thousand, one hundred one".