13355001021040 has 160 divisors (see below), whose sum is σ = 35642558730240. Its totient is φ = 4558683773952.

The previous prime is 13355001020993. The next prime is 13355001021053. The reversal of 13355001021040 is 4012010055331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13355001020996 and 13355001021014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836090494 + ... + 836106466.

It is an arithmetic number, because the mean of its divisors is an integer number (222765992064).

Almost surely, 2^{13355001021040} is an apocalyptic number.

13355001021040 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 13355001021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821279365120).

13355001021040 is an abundant number, since it is smaller than the sum of its proper divisors (22287557709200).

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

13355001021040 is a wasteful number, since it uses less digits than its factorization.

13355001021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22479 (or 22473 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 13355001021040 its reverse (4012010055331), we get a palindrome (17367011076371).

The spelling of 13355001021040 in words is "thirteen trillion, three hundred fifty-five billion, one million, twenty-one thousand, forty".