1213003131120 has 480 divisors, whose sum is σ = 4715032218624. Its totient is φ = 276197990400.

The previous prime is 1213003131107. The next prime is 1213003131161. The reversal of 1213003131120 is 211313003121.

1213003131120 is a `hidden beast` number, since 1 + 2 + 1 + 300 + 31 + 311 + 20 = 666.

It is a super-2 number, since 2×1213003131120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1213003131093 and 1213003131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67714965 + ... + 67732875.

Almost surely, 2^{1213003131120} is an apocalyptic number.

1213003131120 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 1213003131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357516109312).

1213003131120 is an abundant number, since it is smaller than the sum of its proper divisors (3502029087504).

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

1213003131120 is a wasteful number, since it uses less digits than its factorization.

1213003131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1213003131120 its reverse (211313003121), we get a palindrome (1424316134241).

The spelling of 1213003131120 in words is "one trillion, two hundred thirteen billion, three million, one hundred thirty-one thousand, one hundred twenty".