1083137101410 has 128 divisors (see below), whose sum is σ = 3208335298560. Its totient is φ = 227893245696.

The previous prime is 1083137101369. The next prime is 1083137101427. The reversal of 1083137101410 is 141017313801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427489 + ... + 1532651.

It is an arithmetic number, because the mean of its divisors is an integer number (25065119520).

Almost surely, 2^{1083137101410} is an apocalyptic number.

1083137101410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083137101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604167649280).

1083137101410 is an abundant number, since it is smaller than the sum of its proper divisors (2125198197150).

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

1083137101410 is a wasteful number, since it uses less digits than its factorization.

1083137101410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105552.

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 1083137101410 in words is "one trillion, eighty-three billion, one hundred thirty-seven million, one hundred one thousand, four hundred ten".