131140444033000 has 64 divisors (see below), whose sum is σ = 317450316315600. Its totient is φ = 50647343891200.

The previous prime is 131140444032979. The next prime is 131140444033007. The reversal of 131140444033000 is 330444041131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21327272477316 + 109813171555684 = 4618146^2 + 10479178^2 .

It is a super-2 number, since 2×131140444033000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131140444033000.

It is not an unprimeable number, because it can be changed into a prime (131140444033007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2261013139 + ... + 2261071138.

Almost surely, 2^{131140444033000} is an apocalyptic number.

131140444033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131140444033000 is an abundant number, since it is smaller than the sum of its proper divisors (186309872282600).

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

131140444033000 is a wasteful number, since it uses less digits than its factorization.

131140444033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522084327 (or 4522084313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131140444033000 its reverse (330444041131), we get a palindrome (131470888074131).

The spelling of 131140444033000 in words is "one hundred thirty-one trillion, one hundred forty billion, four hundred forty-four million, thirty-three thousand".