1351311401120 has 192 divisors, whose sum is σ = 3339630000000. Its totient is φ = 516188712960.

The previous prime is 1351311401113. The next prime is 1351311401123. The reversal of 1351311401120 is 211041131531.

It is not an unprimeable number, because it can be changed into a prime (1351311401123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180195131 + ... + 180202629.

It is an arithmetic number, because the mean of its divisors is an integer number (17393906250).

Almost surely, 2^{1351311401120} is an apocalyptic number.

1351311401120 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 1351311401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669815000000).

1351311401120 is an abundant number, since it is smaller than the sum of its proper divisors (1988318598880).

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

1351311401120 is a wasteful number, since it uses less digits than its factorization.

1351311401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 1351311401120 its reverse (211041131531), we get a palindrome (1562352532651).

The spelling of 1351311401120 in words is "one trillion, three hundred fifty-one billion, three hundred eleven million, four hundred one thousand, one hundred twenty".