1381900101120 has 1440 divisors, whose sum is σ = 6112858752000. Its totient is φ = 285287546880.

The previous prime is 1381900101107. The next prime is 1381900101121. The reversal of 1381900101120 is 211010091831.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381900101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2769338631 + ... + 2769339129.

It is an arithmetic number, because the mean of its divisors is an integer number (4245040800).

Almost surely, 2^{1381900101120} is an apocalyptic number.

1381900101120 is a gapful number since it is divisible by the number (10) 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 1381900101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056429376000).

1381900101120 is an abundant number, since it is smaller than the sum of its proper divisors (4730958650880).

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

1381900101120 is a wasteful number, since it uses less digits than its factorization.

1381900101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 1381900101120 its reverse (211010091831), we get a palindrome (1592910192951).

The spelling of 1381900101120 in words is "one trillion, three hundred eighty-one billion, nine hundred million, one hundred one thousand, one hundred twenty".