1351107540324 has 120 divisors (see below), whose sum is σ = 3649640332800. Its totient is φ = 435405922560.

The previous prime is 1351107540257. The next prime is 1351107540379. The reversal of 1351107540324 is 4230457011531.

1351107540324 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 107 + 540 + 3 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10067737 + ... + 10201055.

It is an arithmetic number, because the mean of its divisors is an integer number (30413669440).

Almost surely, 2^{1351107540324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351107540324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824820166400).

1351107540324 is an abundant number, since it is smaller than the sum of its proper divisors (2298532792476).

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

1351107540324 is a wasteful number, since it uses less digits than its factorization.

1351107540324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134375 (or 134364 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1351107540324 in words is "one trillion, three hundred fifty-one billion, one hundred seven million, five hundred forty thousand, three hundred twenty-four".