1313121020 has 48 divisors (see below), whose sum is σ = 2790063360. Its totient is φ = 519085056.

The previous prime is 1313121011. The next prime is 1313121031. The reversal of 1313121020 is 201213131.

It is a super-3 number, since 3×1313121020³ (a number of 28 digits) contains 333 as substring.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 1313120986 and 1313121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081934 + ... + 1083146.

It is an arithmetic number, because the mean of its divisors is an integer number (58126320).

Almost surely, 2^1313121020 is an apocalyptic number.

1313121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313121020 is an abundant number, since it is smaller than the sum of its proper divisors (1476942340).

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

1313121020 is a wasteful number, since it uses less digits than its factorization.

1313121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1313121020 is about 36237.0117421401. The cubic root of 1313121020 is about 1095.0524414881.

Adding to 1313121020 its reverse (201213131), we get a palindrome (1514334151).

The spelling of 1313121020 in words is "one billion, three hundred thirteen million, one hundred twenty-one thousand, twenty".