1030011312000 has 512 divisors, whose sum is σ = 3776062717440. Its totient is φ = 246269952000.

The previous prime is 1030011311981. The next prime is 1030011312023. The reversal of 1030011312000 is 2131100301.

It is a super-2 number, since 2×1030011312000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38530639 + ... + 38557361.

It is an arithmetic number, because the mean of its divisors is an integer number (7375122495).

Almost surely, 2^{1030011312000} is an apocalyptic number.

1030011312000 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 1030011312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888031358720).

1030011312000 is an abundant number, since it is smaller than the sum of its proper divisors (2746051405440).

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

1030011312000 is a wasteful number, since it uses less digits than its factorization.

1030011312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26839 (or 26817 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1030011312000 its reverse (2131100301), we get a palindrome (1032142412301).

The spelling of 1030011312000 in words is "one trillion, thirty billion, eleven million, three hundred twelve thousand".