1213131269952 has 1344 divisors, whose sum is σ = 4602044989440. Its totient is φ = 306210668544.

The previous prime is 1213131269939. The next prime is 1213131269969. The reversal of 1213131269952 is 2599621313121.

1213131269952 is a `hidden beast` number, since 1 + 21 + 313 + 1 + 269 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 1213131269898 and 1213131269907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4720355008 + ... + 4720355264.

Almost surely, 2^{1213131269952} is an apocalyptic number.

1213131269952 is a gapful number since it is divisible by the number (12) 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 1213131269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301022494720).

1213131269952 is an abundant number, since it is smaller than the sum of its proper divisors (3388913719488).

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

1213131269952 is a wasteful number, since it uses less digits than its factorization.

1213131269952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 358 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 1213131269952 in words is "one trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred sixty-nine thousand, nine hundred fifty-two".