10205031320000 has 280 divisors, whose sum is σ = 29229512249520. Its totient is φ = 3492628480000.

The previous prime is 10205031319961. The next prime is 10205031320023. The reversal of 10205031320000 is 2313050201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6797846 + ... + 8162154.

Almost surely, 2^{10205031320000} is an apocalyptic number.

10205031320000 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 10205031320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614756124760).

10205031320000 is an abundant number, since it is smaller than the sum of its proper divisors (19024480929520).

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

10205031320000 is a wasteful number, since it uses less digits than its factorization.

10205031320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364369 (or 1364344 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 10205031320000 its reverse (2313050201), we get a palindrome (10207344370201).

The spelling of 10205031320000 in words is "ten trillion, two hundred five billion, thirty-one million, three hundred twenty thousand".