131313232212000 has 1536 divisors, whose sum is σ = 472418216524800. Its totient is φ = 31770869760000.

The previous prime is 131313232211933. The next prime is 131313232212049. The reversal of 131313232212000 is 212232313131.

It is a super-3 number, since 3×131313232212000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 195116243664 + ... + 195116244336.

It is an arithmetic number, because the mean of its divisors is an integer number (307563943050).

Almost surely, 2^{131313232212000} is an apocalyptic number.

131313232212000 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 131313232212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236209108262400).

131313232212000 is an abundant number, since it is smaller than the sum of its proper divisors (341104984312800).

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

131313232212000 is a wasteful number, since it uses less digits than its factorization.

131313232212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131313232212000 its reverse (212232313131), we get a palindrome (131525464525131).

The spelling of 131313232212000 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-two million, two hundred twelve thousand".