133013311002 has 480 divisors, whose sum is σ = 368774313600. Its totient is φ = 35565868800.

The previous prime is 133013310979. The next prime is 133013311031. The reversal of 133013311002 is 200113310331.

It is a happy number.

133013311002 is a `hidden beast` number, since 1 + 330 + 1 + 331 + 1 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 668408499 + ... + 668408697.

It is an arithmetic number, because the mean of its divisors is an integer number (768279820).

Almost surely, 2^133013311002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133013311002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184387156800).

133013311002 is an abundant number, since it is smaller than the sum of its proper divisors (235761002598).

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

133013311002 is a wasteful number, since it uses less digits than its factorization.

133013311002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133013311002 its reverse (200113310331), we get a palindrome (333126621333).

The spelling of 133013311002 in words is "one hundred thirty-three billion, thirteen million, three hundred eleven thousand, two".