1313201023120 has 60 divisors (see below), whose sum is σ = 3551672777724. Its totient is φ = 450240349440.

The previous prime is 1313201023109. The next prime is 1313201023133. The reversal of 1313201023120 is 213201023131.

It can be written as a sum of positive squares in 2 ways, for example, as 487494411264 + 825706611856 = 698208^2 + 908684^2 .

It is a super-3 number, since 3×1313201023120³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167496211 + ... + 167504050.

Almost surely, 2^{1313201023120} is an apocalyptic number.

1313201023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313201023120 is an abundant number, since it is smaller than the sum of its proper divisors (2238471754604).

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

1313201023120 is a wasteful number, since it uses less digits than its factorization.

1313201023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335000288 (or 335000275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1313201023120 its reverse (213201023131), we get a palindrome (1526402046251).

It can be divided in two parts, 131320 and 1023120, that added together give a triangular number (1154440 = T₁₅₁₉).

The spelling of 1313201023120 in words is "one trillion, three hundred thirteen billion, two hundred one million, twenty-three thousand, one hundred twenty".