403013133312 has 176 divisors, whose sum is σ = 1122189636480. Its totient is φ = 128346882048.

The previous prime is 403013133287. The next prime is 403013133319. The reversal of 403013133312 is 213331310304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (403013133319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71289078 + ... + 71294730.

It is an arithmetic number, because the mean of its divisors is an integer number (6376077480).

Almost surely, 2^403013133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403013133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561094818240).

403013133312 is an abundant number, since it is smaller than the sum of its proper divisors (719176503168).

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

403013133312 is a wasteful number, since it uses less digits than its factorization.

403013133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 403013133312 its reverse (213331310304), we get a palindrome (616344443616).

The spelling of 403013133312 in words is "four hundred three billion, thirteen million, one hundred thirty-three thousand, three hundred twelve".