13191533040 has 640 divisors, whose sum is σ = 50482483200. Its totient is φ = 2844979200.

The previous prime is 13191533011. The next prime is 13191533057. The reversal of 13191533040 is 4033519131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13191532989 and 13191533007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185796205 + ... + 185796275.

It is an arithmetic number, because the mean of its divisors is an integer number (78878880).

Almost surely, 2^13191533040 is an apocalyptic number.

13191533040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13191533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25241241600).

13191533040 is an abundant number, since it is smaller than the sum of its proper divisors (37290950160).

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

13191533040 is a wasteful number, since it uses less digits than its factorization.

13191533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 13191533040 in words is "thirteen billion, one hundred ninety-one million, five hundred thirty-three thousand, forty".