1345102312320 has 768 divisors, whose sum is σ = 5178381451200. Its totient is φ = 329830465536.

The previous prime is 1345102312297. The next prime is 1345102312321. The reversal of 1345102312320 is 232132015431.

1345102312320 is a `hidden beast` number, since 1 + 3 + 4 + 510 + 2 + 3 + 123 + 20 = 666.

It is a super-2 number, since 2×1345102312320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345102312321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925740714 + ... + 925742166.

Almost surely, 2^{1345102312320} is an apocalyptic number.

1345102312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345102312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589190725600).

1345102312320 is an abundant number, since it is smaller than the sum of its proper divisors (3833279138880).

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

1345102312320 is a wasteful number, since it uses less digits than its factorization.

1345102312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1345102312320 its reverse (232132015431), we get a palindrome (1577234327751).

The spelling of 1345102312320 in words is "one trillion, three hundred forty-five billion, one hundred two million, three hundred twelve thousand, three hundred twenty".