1098133791300 has 1296 divisors, whose sum is σ = 4548923975232. Its totient is φ = 227699942400.

The previous prime is 1098133791299. The next prime is 1098133791347. The reversal of 1098133791300 is 31973318901.

1098133791300 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 337 + 9 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 944224519 + ... + 944225681.

Almost surely, 2^{1098133791300} is an apocalyptic number.

1098133791300 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 1098133791300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274461987616).

1098133791300 is an abundant number, since it is smaller than the sum of its proper divisors (3450790183932).

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

1098133791300 is a wasteful number, since it uses less digits than its factorization.

1098133791300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1098133791300 in words is "one trillion, ninety-eight billion, one hundred thirty-three million, seven hundred ninety-one thousand, three hundred".