1334133121000 has 32 divisors (see below), whose sum is σ = 3121871505480. Its totient is φ = 533653248000.

The previous prime is 1334133120949. The next prime is 1334133121007. The reversal of 1334133121000 is 1213314331.

It can be written as a sum of positive squares in 4 ways, for example, as 647326448356 + 686806672644 = 804566^2 + 828738^2 .

It is a super-2 number, since 2×1334133121000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334133121007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667065561 + ... + 667067560.

Almost surely, 2^{1334133121000} is an apocalyptic number.

1334133121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334133121000 is an abundant number, since it is smaller than the sum of its proper divisors (1787738384480).

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

1334133121000 is a wasteful number, since it uses less digits than its factorization.

1334133121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334133142 (or 1334133128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1334133121000 its reverse (1213314331), we get a palindrome (1335346435331).

The spelling of 1334133121000 in words is "one trillion, three hundred thirty-four billion, one hundred thirty-three million, one hundred twenty-one thousand".