1331101133010 has 72 divisors (see below), whose sum is σ = 3804089054220. Its totient is φ = 322691181120.

The previous prime is 1331101133009. The next prime is 1331101133023. The reversal of 1331101133010 is 103311011331.

1331101133010 is a `hidden beast` number, since 1 + 3 + 311 + 0 + 11 + 330 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1304385557409 + 26715575601 = 1142097^2 + 163449^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61104865 + ... + 61126644.

Almost surely, 2^{1331101133010} is an apocalyptic number.

1331101133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331101133010 is an abundant number, since it is smaller than the sum of its proper divisors (2472987921210).

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

1331101133010 is a wasteful number, since it uses less digits than its factorization.

1331101133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122231544 (or 122231530 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1331101133010 its reverse (103311011331), we get a palindrome (1434412144341).

The spelling of 1331101133010 in words is "one trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, ten".