101131311003 has 16 divisors (see below), whose sum is σ = 137445465600. Its totient is φ = 66124319840.

The previous prime is 101131310993. The next prime is 101131311041. The reversal of 101131311003 is 300113131101.

It is a cyclic number.

It is not a de Polignac number, because 101131311003 - 2²¹ = 101129213851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131311103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586548 + ... + 739121.

It is an arithmetic number, because the mean of its divisors is an integer number (8590341600).

Almost surely, 2^101131311003 is an apocalyptic number.

101131311003 is a deficient number, since it is larger than the sum of its proper divisors (36314154597).

101131311003 is a wasteful number, since it uses less digits than its factorization.

101131311003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326162.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101131311003 its reverse (300113131101), we get a palindrome (401244442104).

The spelling of 101131311003 in words is "one hundred one billion, one hundred thirty-one million, three hundred eleven thousand, three".