1010987751312 has 540 divisors, whose sum is σ = 3808174646640. Its totient is φ = 248769480960.

The previous prime is 1010987751287. The next prime is 1010987751329. The reversal of 1010987751312 is 2131577890101.

1010987751312 is a `hidden beast` number, since 10 + 109 + 8 + 7 + 7 + 513 + 12 = 666.

1010987751312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16190583 + ... + 16252905.

Almost surely, 2^{1010987751312} is an apocalyptic number.

1010987751312 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 1010987751312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904087323320).

1010987751312 is an abundant number, since it is smaller than the sum of its proper divisors (2797186895328).

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

1010987751312 is a wasteful number, since it uses less digits than its factorization.

1010987751312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62392 (or 62365 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 1010987751312 in words is "one trillion, ten billion, nine hundred eighty-seven million, seven hundred fifty-one thousand, three hundred twelve".