1010311311300 has 144 divisors (see below), whose sum is σ = 3016012171200. Its totient is φ = 260953804800.

The previous prime is 1010311311103. The next prime is 1010311311367. The reversal of 1010311311300 is 31131130101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010311311300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414236 + ... + 2005164.

Almost surely, 2^{1010311311300} is an apocalyptic number.

1010311311300 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 1010311311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508006085600).

1010311311300 is an abundant number, since it is smaller than the sum of its proper divisors (2005700859900).

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

1010311311300 is a wasteful number, since it uses less digits than its factorization.

1010311311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591126 (or 591119 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1010311311300 its reverse (31131130101), we get a palindrome (1041442441401).

The spelling of 1010311311300 in words is "one trillion, ten billion, three hundred eleven million, three hundred eleven thousand, three hundred".