1311021031320 has 384 divisors, whose sum is σ = 5720820618240. Its totient is φ = 251464504320.

The previous prime is 1311021031319. The next prime is 1311021031363. The reversal of 1311021031320 is 231301201131.

1311021031320 is a `hidden beast` number, since 1 + 311 + 0 + 2 + 1 + 0 + 31 + 320 = 666.

It is a super-2 number, since 2×1311021031320² (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 junction number, because it is equal to n+sod(n) for n = 1311021031293 and 1311021031302.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1458684 + ... + 2179403.

It is an arithmetic number, because the mean of its divisors is an integer number (14897970360).

Almost surely, 2^{1311021031320} is an apocalyptic number.

1311021031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311021031320 is an abundant number, since it is smaller than the sum of its proper divisors (4409799586920).

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

1311021031320 is a wasteful number, since it uses less digits than its factorization.

1311021031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638135 (or 3638128 counting only the distinct ones).

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

Adding to 1311021031320 its reverse (231301201131), we get a palindrome (1542322232451).

The spelling of 1311021031320 in words is "one trillion, three hundred eleven billion, twenty-one million, thirty-one thousand, three hundred twenty".