1301120211031 has 16 divisors (see below), whose sum is σ = 1336237056000. Its totient is φ = 1266570309888.

The previous prime is 1301120210953. The next prime is 1301120211067.

It is a happy number.

1301120211031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1301120211031 - 2¹⁵ = 1301120178263 is a prime.

It is a super-2 number, since 2×1301120211031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301120210996 and 1301120211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301120211331) 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, 1692570 + ... + 2338168.

It is an arithmetic number, because the mean of its divisors is an integer number (83514816000).

Almost surely, 2^{1301120211031} is an apocalyptic number.

1301120211031 is a deficient number, since it is larger than the sum of its proper divisors (35116844969).

1301120211031 is an equidigital number, since it uses as much as digits as its factorization.

1301120211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646038.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1301120 and 211031, that added together give a palindrome (1512151).

The spelling of 1301120211031 in words is "one trillion, three hundred one billion, one hundred twenty million, two hundred eleven thousand, thirty-one".