1010241312 has 192 divisors, whose sum is σ = 2861236224. Its totient is φ = 311592960.

The previous prime is 1010241311. The next prime is 1010241347. The reversal of 1010241312 is 2131420101.

It is a junction number, because it is equal to n+sod(n) for n = 1010241291 and 1010241300.

It is not an unprimeable number, because it can be changed into a prime (1010241311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7954593 + ... + 7954719.

It is an arithmetic number, because the mean of its divisors is an integer number (14902272).

Almost surely, 2^1010241312 is an apocalyptic number.

1010241312 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 1010241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430618112).

1010241312 is an abundant number, since it is smaller than the sum of its proper divisors (1850994912).

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

1010241312 is a wasteful number, since it uses less digits than its factorization.

1010241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1010241312 is about 31784.2934796418. The cubic root of 1010241312 is about 1003.4021826930.

Adding to 1010241312 its reverse (2131420101), we get a palindrome (3141661413).

The spelling of 1010241312 in words is "one billion, ten million, two hundred forty-one thousand, three hundred twelve".