1031131122101 has 8 divisors (see below), whose sum is σ = 1031461028640. Its totient is φ = 1030801281552.

The previous prime is 1031131122037. The next prime is 1031131122127. The reversal of 1031131122101 is 1012211311301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1031131122101 - 2⁶ = 1031131122037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031131122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031131122191) 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 7 ways as a sum of consecutive naturals, for example, 58781990 + ... + 58799528.

It is an arithmetic number, because the mean of its divisors is an integer number (128932628580).

Almost surely, 2^{1031131122101} is an apocalyptic number.

It is an amenable number.

1031131122101 is a deficient number, since it is larger than the sum of its proper divisors (329906539).

1031131122101 is an equidigital number, since it uses as much as digits as its factorization.

1031131122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32995.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1031131122101 its reverse (1012211311301), we get a palindrome (2043342433402).

The spelling of 1031131122101 in words is "one trillion, thirty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred one".