311530451325132 has 288 divisors, whose sum is σ = 835444200003840. Its totient is φ = 90057816576000.

The previous prime is 311530451325101. The next prime is 311530451325241. The reversal of 311530451325132 is 231523154035113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2284532632 + ... + 2284668992.

It is an arithmetic number, because the mean of its divisors is an integer number (2900847916680).

Almost surely, 2^{311530451325132} 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 311530451325132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417722100001920).

311530451325132 is an abundant number, since it is smaller than the sum of its proper divisors (523913748678708).

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

311530451325132 is a wasteful number, since it uses less digits than its factorization.

311530451325132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136905 (or 136890 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 311530451325132 in words is "three hundred eleven trillion, five hundred thirty billion, four hundred fifty-one million, three hundred twenty-five thousand, one hundred thirty-two".