1313101312000 has 104 divisors (see below), whose sum is σ = 3277102066992. Its totient is φ = 525240320000.

The previous prime is 1313101311979. The next prime is 1313101312007. The reversal of 1313101312000 is 2131013131.

It is a super-2 number, since 2×1313101312000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313101312007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770326 + ... + 1794325.

It is an arithmetic number, because the mean of its divisors is an integer number (31510596798).

Almost surely, 2^{1313101312000} is an apocalyptic number.

1313101312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313101312000 is an abundant number, since it is smaller than the sum of its proper divisors (1964000754992).

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

1313101312000 is an frugal number, since it uses more digits than its factorization.

1313101312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564690 (or 2564658 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1313101312000 its reverse (2131013131), we get a palindrome (1315232325131).

The spelling of 1313101312000 in words is "one trillion, three hundred thirteen billion, one hundred one million, three hundred twelve thousand".