1010013100311 has 16 divisors (see below), whose sum is σ = 1408739984640. Its totient is φ = 642460156800.

The previous prime is 1010013100259. The next prime is 1010013100319. The reversal of 1010013100311 is 1130013100101.

It is not a de Polignac number, because 1010013100311 - 2⁶ = 1010013100247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010013100319) 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, 18224041 + ... + 18279378.

It is an arithmetic number, because the mean of its divisors is an integer number (88046249040).

Almost surely, 2^{1010013100311} is an apocalyptic number.

1010013100311 is a deficient number, since it is larger than the sum of its proper divisors (398726884329).

1010013100311 is a wasteful number, since it uses less digits than its factorization.

1010013100311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36503846.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1010013100311 its reverse (1130013100101), we get a palindrome (2140026200412).

The spelling of 1010013100311 in words is "one trillion, ten billion, thirteen million, one hundred thousand, three hundred eleven".