1010113131001 has 16 divisors (see below), whose sum is σ = 1099108804864. Its totient is φ = 922732383744.

The previous prime is 1010113130977. The next prime is 1010113131011. The reversal of 1010113131001 is 1001313110101.

It is a cyclic number.

It is not a de Polignac number, because 1010113131001 - 2²¹ = 1010111033849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010113131011) 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, 27803290 + ... + 27839596.

It is an arithmetic number, because the mean of its divisors is an integer number (68694300304).

Almost surely, 2^{1010113131001} is an apocalyptic number.

It is an amenable number.

1010113131001 is a deficient number, since it is larger than the sum of its proper divisors (88995673863).

1010113131001 is a wasteful number, since it uses less digits than its factorization.

1010113131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58480.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1010113131001 its reverse (1001313110101), we get a palindrome (2011426241102).

The spelling of 1010113131001 in words is "one trillion, ten billion, one hundred thirteen million, one hundred thirty-one thousand, one".