1100030311300 has 72 divisors (see below), whose sum is σ = 2476708121160. Its totient is φ = 423578265600.

The previous prime is 1100030311241. The next prime is 1100030311379. The reversal of 1100030311300 is 31130300011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 488634552576 + 611395758724 = 699024^2 + 781918^2 .

It is a super-3 number, since 3×1100030311300³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414510 + ... + 1540090.

It is an arithmetic number, because the mean of its divisors is an integer number (34398723905).

Almost surely, 2^{1100030311300} is an apocalyptic number.

1100030311300 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 1100030311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238354060580).

1100030311300 is an abundant number, since it is smaller than the sum of its proper divisors (1376677809860).

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

1100030311300 is a wasteful number, since it uses less digits than its factorization.

1100030311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125961 (or 1125954 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1100030311300 its reverse (31130300011), we get a palindrome (1131160611311).

The spelling of 1100030311300 in words is "one trillion, one hundred billion, thirty million, three hundred eleven thousand, three hundred".