1311012023310 has 144 divisors (see below), whose sum is σ = 3752383274640. Its totient is φ = 317337081600.

The previous prime is 1311012023297. The next prime is 1311012023311. The reversal of 1311012023310 is 133202101131.

1311012023310 is a `hidden beast` number, since 1 + 31 + 101 + 202 + 331 + 0 = 666.

It is a super-2 number, since 2×1311012023310² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311012023311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7085170 + ... + 7267850.

It is an arithmetic number, because the mean of its divisors is an integer number (26058217185).

Almost surely, 2^{1311012023310} is an apocalyptic number.

1311012023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311012023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876191637320).

1311012023310 is an abundant number, since it is smaller than the sum of its proper divisors (2441371251330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311012023310 is a wasteful number, since it uses less digits than its factorization.

1311012023310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183375 (or 183361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311012023310 its reverse (133202101131), we get a palindrome (1444214124441).

The spelling of 1311012023310 in words is "one trillion, three hundred eleven billion, twelve million, twenty-three thousand, three hundred ten".