381203310111312 has 320 divisors, whose sum is σ = 1087862168365056. Its totient is φ = 114277960581120.

The previous prime is 381203310111301. The next prime is 381203310111317. The reversal of 381203310111312 is 213111013302183.

It is a super-2 number, since 2×381203310111312² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381203310111312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381203310111317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81855980088 + ... + 81855984744.

Almost surely, 2^{381203310111312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381203310111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543931084182528).

381203310111312 is an abundant number, since it is smaller than the sum of its proper divisors (706658858253744).

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

381203310111312 is a wasteful number, since it uses less digits than its factorization.

381203310111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 381203310111312 its reverse (213111013302183), we get a palindrome (594314323413495).

The spelling of 381203310111312 in words is "three hundred eighty-one trillion, two hundred three billion, three hundred ten million, one hundred eleven thousand, three hundred twelve".