11130003210312 has 384 divisors, whose sum is σ = 37324589702400. Its totient is φ = 2924808652800.

The previous prime is 11130003210299. The next prime is 11130003210341. The reversal of 11130003210312 is 21301230003111.

11130003210312 is a `hidden beast` number, since 1 + 1 + 1 + 30 + 0 + 0 + 321 + 0 + 312 = 666.

It is a super-2 number, since 2×11130003210312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163303762 + ... + 163371902.

It is an arithmetic number, because the mean of its divisors is an integer number (97199452350).

Almost surely, 2^{11130003210312} is an apocalyptic number.

11130003210312 is a gapful number since it is divisible by the number (12) 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 11130003210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662294851200).

11130003210312 is an abundant number, since it is smaller than the sum of its proper divisors (26194586492088).

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

11130003210312 is a wasteful number, since it uses less digits than its factorization.

11130003210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68677 (or 68670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11130003210312 its reverse (21301230003111), we get a palindrome (32431233213423).

The spelling of 11130003210312 in words is "eleven trillion, one hundred thirty billion, three million, two hundred ten thousand, three hundred twelve".