1353315120420 has 96 divisors (see below), whose sum is σ = 3797661643776. Its totient is φ = 360086601600.

The previous prime is 1353315120407. The next prime is 1353315120427. The reversal of 1353315120420 is 240215133531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1353315120427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86704257 + ... + 86719863.

It is an arithmetic number, because the mean of its divisors is an integer number (39558975456).

Almost surely, 2^{1353315120420} is an apocalyptic number.

1353315120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353315120420 is an abundant number, since it is smaller than the sum of its proper divisors (2444346523356).

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

1353315120420 is a wasteful number, since it uses less digits than its factorization.

1353315120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18721 (or 18719 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1353315120420 in words is "one trillion, three hundred fifty-three billion, three hundred fifteen million, one hundred twenty thousand, four hundred twenty".