131133322000 has 160 divisors (see below), whose sum is σ = 321237876960. Its totient is φ = 51769497600.

The previous prime is 131133321967. The next prime is 131133322027. The reversal of 131133322000 is 223331131.

It can be written as a sum of positive squares in 16 ways, for example, as 43443898624 + 87689423376 = 208432^2 + 296124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63872974 + ... + 63875026.

It is an arithmetic number, because the mean of its divisors is an integer number (2007736731).

Almost surely, 2^131133322000 is an apocalyptic number.

131133322000 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 131133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160618938480).

131133322000 is an abundant number, since it is smaller than the sum of its proper divisors (190104554960).

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

131133322000 is a wasteful number, since it uses less digits than its factorization.

131133322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131133322000 its reverse (223331131), we get a palindrome (131356653131).

The spelling of 131133322000 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-two thousand".