1013133133332 has 72 divisors (see below), whose sum is σ = 2568773339496. Its totient is φ = 336684294144.

The previous prime is 1013133133303. The next prime is 1013133133343. The reversal of 1013133133332 is 2333313313101.

1013133133332 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 13 + 313 + 3 + 332 = 666.

1013133133332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15120145296 + 998012988036 = 122964^2 + 999006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1013133133296 and 1013133133305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16025208 + ... + 16088304.

It is an arithmetic number, because the mean of its divisors is an integer number (35677407493).

Almost surely, 2^{1013133133332} is an apocalyptic number.

1013133133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013133133332 is an abundant number, since it is smaller than the sum of its proper divisors (1555640206164).

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

1013133133332 is a wasteful number, since it uses less digits than its factorization.

1013133133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64457 (or 64452 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1013133133332 its reverse (2333313313101), we get a palindrome (3346446446433).

The spelling of 1013133133332 in words is "one trillion, thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred thirty-two".